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math.PR2025
Well-posedness of kinetic McKean-Vlasov equations
Andrea Pascucci, Alessio Rondelli
We consider the McKean-Vlasov equation where is the law of . We specifically consider the kinetic case, where the e…
math.PR2024
McKean-Vlasov stochastic equations with Hölder coefficients
Andrea Pascucci, Alessio Rondelli
This work revisits the well-posedness of non-degenerate McKean-Vlasov stochastic differential equations with Hölder continuous coefficients, recently established by Chaudru de Ray…
math.PR2024
Existence and uniqueness results for strongly degenerate McKean-Vlasov equations with rough coefficients
Andrea Pascucci, Alessio Rondelli, Alexander Yu Veretennikov
We present existence results for weak solutions to a broad class of degenerate McKean-Vlasov equations with rough coefficients, expanding upon and refining the techniques recently…